I have just a couple cents to add to this conversation.
Some materials are better at absorbing vibrations than others. If I were to market a dampener, I would not use a hard material, like a metal clamp or hard plastic. Something like Sorbothane seems ideal, which converts vibrations into heat. It is used in the space shuttle, Vitamix blenders, and baseball gloves. There are probably other versions of this material available, but you can buy strips of it online under the name "Isolate It." Here's what Sorbothane claims about their product.
- It absorbs up to 95% of shock energy and more than 50% of vibration energy for millions of cycles;
- It performs across frequencies from 10 to 30,000 Hertz;
- It performs across temperatures from –20° to 160° Fahrenheit (–29° to 72° Celsius);
- It is resistant to fire, chemical solvents, and performs in harsh industrial environments;
- It has a long shelf life;
- It combines shock absorption, good memory, vibration isolation, in addition to damping characteristics; and
- It is an extremely cost-effective solution because it can be easily fabricated or modified to any shape, size, and thickness.
When I was researching this a couple years back, I found out that there are different types of Sorbothane materials and some are optimized better for certain frequencies of vibrations, as well as intended uses and environments. This led me down a rabbit hole that caused me to leave it alone, as it was getting too involved.